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Finding the Fourth Proportional to 2,751.05, 3,794.50 and 1,688.87

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Solution

The fourth proportional to 2,751.05, 3,794.50 and 1,688.87 is: 2,329.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.05 : 3,794.50 = 1,688.87 : x
  2. Step 2: Convert to fraction form
    2,751.05/3,794.50 = 1,688.87/x
  3. Step 3: Cross multiply
    2,751.05x = 3,794.50 × 1,688.87
  4. Step 4: Simplify right side
    2,751.05x = 6,408,417.22
  5. Step 5: Solve for x
    x = 6,408,417.22/2,751.05
  6. Step 6: Final answer
    x = 2,329.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.